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Difficulty: EasyCalculating Distance

During a morning commute, a passenger train maintains a constant speed of 48 miles per hour48\text{ miles per hour} between two city stations. If the non-stop journey takes exactly 1515 minutes, what is the total distance between the two stations?

  1. 12 miles12\text{ miles}Answer
  2. B
    7.2 miles7.2\text{ miles}
  3. C
    120 miles120\text{ miles}
  4. D
    720 miles720\text{ miles}

Answer

The distance between the two stations is 12 miles12\text{ miles}.
The correct answer is found by first converting 1515 minutes to hours by dividing by 6060, which gives 0.250.25 hours. Then, multiplying the speed of 48 miles per hour48\text{ miles per hour} by 0.250.25 hours results in a distance of 12 miles12\text{ miles}.

Step-by-Step Solution

1
Identify the formula for distance.
Distance=Rate×TimeDistance = Rate \times Time
This formula connects speed, time, and distance to find the unknown value.
2
Convert the travel time from minutes to hours.
15 minutes=1560 hours=0.25 hours15 \text{ minutes} = \frac{15}{60} \text{ hours} = 0.25 \text{ hours}
The rate is given in miles per hour, so the time must be in hours to cancel out the units correctly.
3
Multiply the rate by the converted time.
48×0.25=1248 \times 0.25 = 12
Applying the values to the distance formula yields the total distance in miles.

Key Concept

Calculating distance by converting time units to match the rate units.
Estimated Time:45s
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Topics

Calculating Distance

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